p, (p => q), (q => r) |- r
|- (p V (~ p))
(p => q) |- ((p => r) => (q => r))
(f a) |- ((some x) (f x))
((all x) (f x)) |- ((all x) ((F x) V (g x)))
((some x) ((all y) (R x y))) |- ((all y) ((some x) (R x y))) 
|- (~ ((some x) ((all y) ((R y x) <=> (~ (R x x)))))) 
